Factoriality of twisted locally compact group von Neumann algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918123387486208 |
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| author | Vaes, Stefaan |
| author_facet | Vaes, Stefaan |
| contents | In this short note, we construct an exotic example of a locally compact group $G$ with a Borel $2$-cocycle $ω$ such that the non-twisted group von Neumann algebra $L(G)$ is a factor, while the twisted group von Neumann algebra $L_ω(G)$ has a diffuse center. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Factoriality of twisted locally compact group von Neumann algebras Vaes, Stefaan Operator Algebras Group Theory In this short note, we construct an exotic example of a locally compact group $G$ with a Borel $2$-cocycle $ω$ such that the non-twisted group von Neumann algebra $L(G)$ is a factor, while the twisted group von Neumann algebra $L_ω(G)$ has a diffuse center. |
| title | Factoriality of twisted locally compact group von Neumann algebras |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2412.15733 |